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math.AP2014
Energy decay for a locally undamped wave equation
Matthieu Léautaud, Nicolas Lerner
We study the decay rate for the energy of solutions of a damped wave equation in a situation where the Geometric Control Condition is violated. We assume that the set of undamped t…
math.AP2014
Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation
Yoshinori Morimoto, Nicolas Lerner, Karel Pravda-Starov +1
We consider the spatially inhomogeneous non-cutoff Kac's model of the Boltzmann equation. We prove that the Cauchy problem for the fluctuation around the Maxwellian distribution en…